On some non-local approximation of nonisotropic Griffith-type functionals

The approximation in the sense of $\mathrm{\Gamma }$-convergence of nonisotropic Griffith-type functionals, with $p-$growth ($p>1$) in the symmetrized gradient, by means of a suitable sequence of non-local convolution type functionals defined on Sobolev spaces, is analysed.